ciągi
jula: Oblicz 2a5 − b7
a1 = 0,5
an+1 = (−2)n * an dla n≥1
b1 = 0
bn+1 = bn − (−1)n dla n ≥1
16 mar 20:54
janek191:
a1 = 0,5
a2 = (−2)1*a1 = −2*0,5 = − 1
a3 = (−2)2*a2 = 4*(−1) = − 4
a4 = (−2)3*a3 = − 8*(−4) = 32
a5 = (−2)4*a4 =16*32 = 512
b1 = 0
b2 = b1 − (−1)1 = 0 + 1 = 1
b3 = b2 − (−1)2 = 1 − 1 = 0
b4 = b3 −(−1)3 = 0 +1 = 1
więc
b5 = 0
b6 = 1
b7 = 0
zatem
2 a5 − b7 = 2*512 − 0 = 1024
17 mar 00:37